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- W2470176349 abstract "Il est demontre que le probleme de Cauchy pour l'equation de Schrodinger non lineaire iu t - Δu = c|u| σ u possede une solution locale dans l'espace C 0 ([0, T], H s,2 (R n )) si la valeur initiale appartient a H s.2 (R n ) sous condition que 1 < s < n/2 et 0 < σ < 4/n-2s si 1 < s < 2, s - 2 < σ < 4/u-2 si 2 ≤ s < 4 et s - 3 < σ < 4/n-2s si ≥ 4. Si en plus σ ≥4/n et si ∥Φ∥H s,2 (R n ) est suffisamment petite la solution est globale." @default.
- W2470176349 created "2016-07-22" @default.
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- W2470176349 date "1997-01-01" @default.
- W2470176349 modified "2023-09-24" @default.
- W2470176349 title "Solutions of semilinear Schrödinger equations in $H^s$" @default.
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